What is the Greatest Common Factor of 58129 and 58149?

Greatest common factor (GCF) of 58129 and 58149 is 1.

GCF(58129,58149) = 1

We will now calculate the prime factors of 58129 and 58149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58129 and 58149.

How to find the GCF of 58129 and 58149?

We will first find the prime factorization of 58129 and 58149. After we will calculate the factors of 58129 and 58149 and find the biggest common factor number .

Step-1: Prime Factorization of 58129

Prime factors of 58129 are 58129. Prime factorization of 58129 in exponential form is:

58129 = 58129¹

Step-2: Prime Factorization of 58149

Prime factors of 58149 are 3, 7, 13, 71. Prime factorization of 58149 in exponential form is:

58149 = 3² × 7¹ × 13¹ × 71¹

Step-3: Factors of 58129

List of positive integer factors of 58129 that divides 58129 without a remainder.

Step-4: Factors of 58149

List of positive integer factors of 58149 that divides 58129 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 71, 91, 117, 213, 273, 497, 639, 819, 923, 1491, 2769, 4473, 6461, 8307, 19383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58129 and 58149. The biggest common factor number is the GCF number.
So the greatest common factor 58129 and 58149 is 1.

Also check out the Least Common Multiple of 58129 and 58149